Tarski's plank problem

Tarski's plank problem

In mathematics, Tarski's plank problem is a question about coverings of convex regions in "n"-dimensional Euclidean space by "planks": regions between two hyperplanes. Tarski asked if the sum of the widths of the planks must be at least the minimum width of the convex region. The question was answered affirmatively by harvs|txt=yes|first=Thøger|last=Bang|year=1950|year2=1951.

References

*citation|id=MR|0038085
last=Bang|first= Thøger
title=On covering by parallel-strips.
journal=Mat. Tidsskr. B.|year= 1950|pages= 49-53
*citation|id=MR|0046672
last=Bang|first= Thøger
title=A solution of the "plank problem"
journal=Proc. Amer. Math. Soc.|volume= 2|year=1951|pages= 990-993
url=http://links.jstor.org/sici?sici=0002-9939%28195112%292%3A6%3C990%3AASOT%22P%3E2.0.CO%3B2-E


Wikimedia Foundation. 2010.

Игры ⚽ Поможем сделать НИР

Look at other dictionaries:

  • Tarski's problem — Alfred Tarski asked several mathematical questions: *For Tarski s problem about the elementary theory of free groups see free group. *Tarski s circle squaring problem *Tarski s plank problem *Tarski s exponential function problem *Tarski monster… …   Wikipedia

  • List of mathematics articles (T) — NOTOC T T duality T group T group (mathematics) T integration T norm T norm fuzzy logics T schema T square (fractal) T symmetry T table T theory T.C. Mits T1 space Table of bases Table of Clebsch Gordan coefficients Table of divisors Table of Lie …   Wikipedia

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”